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http://dx.doi.org/10.4134/CKMS.c200022

ON A NEW CLASS OF FUNCTIONS RELATED WITH MITTAG-LEFFLER AND WRIGHT FUNCTIONS AND THEIR PROPERTIES  

Bansal, Deepak (Department of Mathematics College of Engg. and Technology)
Mehrez, Khaled (Departement de Mathematiques ISSAT Kasserine Universite de Kairouan)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.4, 2020 , pp. 1123-1132 More about this Journal
Abstract
In the present paper, we define new class of functions Tα,β(λ; z) which is an extension of the classical Wright function and the Mittag-Leffler function. We show some mean value inequalities for the this function, such as Turán-type inequalities, Lazarević-type inequalities and Wilker-type inequalities. Moreover, integrals formula and integral inequality for the function Tα,β(λ; z) are presented.
Keywords
Wright function; Mittag-Leffler function; $Tur{\acute{a}}n$ type inequalities; $Lazarevi{\acute{c}}$-type inequalities; Wilker-type inequalities;
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